The generator matrix

 1  0  0  1  1  1  0  1  1 14  1  2 14  1  1  1  1 12  1  4  6  1  1  0  1  2  1  1  8  8  1 14  1 12  1 10  1  1  1  8  1  1  1  1  1  6  1  1  1  1 10  6  1  0  1
 0  1  0  0  5 11  1  6  9  6 12  1  1  1  4 11  4  1 13  2  1  2  8  1  2  8  9  3  1  1 15 10 14 14 11  1 11  8  5  1  6  8 15 14  3  1  1  0 12  5 12  8  2  1  8
 0  0  1  1  1  4  1  9 10  1 14 14 15  7 14  6  1 11  3  1 14  4  7  9  8  1  9  8 12  2 10  1  1  1 15  0  5  3 14 12 14  8 10  7 15  5  1  0  8  4  1  1  2  2  4
 0  0  0  2 10  8 10  2  4 10 12 14 12  8  6 10  0 10  2  0  0  6 12  4  8  6 12  2  2 10  4  4 12  6 12 12 14 10 14 12  4 14 14 10  8 10  6 10  6  4 12  2  0 12  4

generates a code of length 55 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+162x^49+885x^50+1882x^51+2878x^52+3996x^53+4559x^54+4674x^55+4498x^56+3590x^57+2575x^58+1688x^59+791x^60+320x^61+150x^62+42x^63+39x^64+28x^65+6x^66+2x^67+1x^68+1x^70

The gray image is a code over GF(2) with n=440, k=15 and d=196.
This code was found by Heurico 1.16 in 9.48 seconds.